42204420414324 has 192 divisors, whose sum is σ = 126393678028800. Its totient is φ = 11929089977856.

The previous prime is 42204420414323. The next prime is 42204420414379. The reversal of 42204420414324 is 42341402440224.

42204420414324 is a `hidden beast` number, since 4 + 2 + 204 + 4 + 2 + 0 + 414 + 32 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42204420414323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75799657 + ... + 76354415.

It is an arithmetic number, because the mean of its divisors is an integer number (658300406400).

Almost surely, 2^{42204420414324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42204420414324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63196839014400).

42204420414324 is an abundant number, since it is smaller than the sum of its proper divisors (84189257614476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42204420414324 is a wasteful number, since it uses less digits than its factorization.

42204420414324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555859 (or 555851 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 42204420414324 its reverse (42341402440224), we get a palindrome (84545822854548).

The spelling of 42204420414324 in words is "forty-two trillion, two hundred four billion, four hundred twenty million, four hundred fourteen thousand, three hundred twenty-four".